Erratum to: “ -Factorization and small-x anomalous dimensions”

2001 ◽  
Vol 607 (1-2) ◽  
pp. 431-432 ◽  
Author(s):  
G. Camici ◽  
M. Ciafaloni
Keyword(s):  
Anomalous Dimensions ◽  
Small X

On the polarized DIS spin structure function g1 at small x

2014 ◽  
Vol 29 (21) ◽  
pp. 1444014
Author(s):  
B. I. Ermolaev ◽  
M. Greco ◽  
S. I. Troyan
Keyword(s):  
Experimental Data ◽  
Structure Function ◽  
Spin Structure ◽  
Kinematic Region ◽  
Spin Structure Function ◽  
Detailed Review ◽  
Compass Experiment ◽  
Anomalous Dimensions ◽  
Small X ◽  
Explicit Expressions

In the present paper we summarize our recent results on the structure function g1 and present explicit expressions for the nonsinglet and singlet components of g1, which can be also used at arbitrary x and Q2. These expressions combine the well-known DGLAP-results for the anomalous dimensions and coefficient functions with the total resummation of the leading logarithmic contributions and the shift of Q2 →Q2 + μ2. In contrast to DGLAP, these expressions do not require the introduction of singular parametrizations for the initial parton densities. We have also applied our results to describe the experimental data in the kinematic region of the COMPASS experiment, which is beyond the reach of DGLAP. For a more detailed review of our results see Ref. 1.

scholarly journals Quark anomalous dimensions at small x

1993 ◽  
Vol 315 (1-2) ◽  
pp. 157-163 ◽  
Author(s):  
S. Catani ◽  
F. Hautmann
Keyword(s):  
Anomalous Dimensions ◽  
Small X

scholarly journals k-Factorization and small-x anomalous dimensions

1997 ◽  
Vol 496 (1-2) ◽  
pp. 305-336 ◽  
Author(s):  
G. Camici ◽  
M. Ciafaloni
Keyword(s):  
Anomalous Dimensions ◽  
Small X

scholarly journals Non-abelian contributions to small-x anomalous dimensions

1996 ◽  
Vol 386 (1-4) ◽  
pp. 341-349 ◽  
Author(s):  
G. Camici ◽  
M. Ciafaloni
Keyword(s):  
Anomalous Dimensions ◽  
Small X

The Shuvaev Transform and the Skewness Effect at small x

2009 ◽  
Author(s):  
Thomas Teubner ◽  
A.D. Martin ◽  
C. Nockles ◽  
M.G. Ryskin ◽  
A.G. Shuvaev
Keyword(s):  
Small X

Use of a Method of Small X-Ray Line Shifts to Investigate the Electronic Structure of Crystal Chemical Bonds

1974 ◽  
Vol 113 (6) ◽  
pp. 360 ◽  
Author(s):  
O.M. Sumbaev ◽  
E.V. Petrovich ◽  
Yu.P. Smirnov ◽  
I.M. Band ◽  
Aleksandr I. Smirnov
Keyword(s):  
Electronic Structure ◽  
Crystal Chemical ◽  
Chemical Bonds ◽  
X Ray ◽  
Small X

PARTON DISTRIBUTION FUNCTIONS AND THE QCD-IMPROVED PARTON MODEL — AN OVERVIEW

1987 ◽  
Vol 02 (04) ◽  
pp. 1369-1387 ◽  
Author(s):  
Wu-Ki Tung
Keyword(s):  
Parton Distribution ◽  
Particle Production ◽  
Heavy Particle ◽  
Parton Model ◽  
Distribution Functions ◽  
Collider Physics ◽  
Parton Distribution Functions ◽  
Parton Distributions ◽  
First Order ◽  
Small X

Some non-trivial features of the QCD-improved parton model relevant to applications on heavy particle production and semi-hard (small-x) processes of interest to collider physics are reviewed. The underlying ideas are illustrated by a simple example. Limitations of the naive parton formula as well as first order corrections and subtractions to it are dis-cussed in a quantitative way. The behavior of parton distribution functions at small x and for heavy quarks are discussed. Recent work on possible impact of unconventional small-x behavior of the parton distributions on small-x physics at SSC and Tevatron are summarized. The Drell-Yan process is found to be particularly sensitive to the small x dependence of parton distributions. Measurements of this process at the Tevatron can provide powerful constraints on the expected rates of semi-hard processes at the SSC.

scholarly journals Renormalization Group evolution from on-shell SMEFT

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Minyuan Jiang ◽  
Teng Ma ◽  
Jing Shu
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Standard Model ◽  
Effective Field Theory ◽  
Effective Field ◽  
High Dimensional ◽  
Anomalous Dimensions ◽  
The Standard Model ◽  
Group Evolution

Abstract We describe the on-shell method to derive the Renormalization Group (RG) evolution of Wilson coefficients of high dimensional operators at one loop, which is a necessary part in the on-shell construction of the Standard Model Effective Field Theory (SMEFT), and exceptionally efficient based on the amplitude basis in hand. The UV divergence is obtained by firstly calculating the coefficients of scalar bubble integrals by unitary cuts, then subtracting the IR divergence in the massless bubbles, which can be easily read from the collinear factors we obtained for the Standard Model fields. Examples of deriving the anomalous dimensions at dimension six are presented in a pedagogical manner. We also give the results of contributions from the dimension-8 H4D4 operators to the running of V+V−H2 operators, as well as the running of B+B−H2D2n from H4D2n+4 for general n.

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